3 papers
math.DS2009
On the Hausdorff Dimension of Piecewise Hyperbolic Attractors
Tomas Persson
We study non-invertible piecewise hyperbolic maps in the plane. The Hausdorff dimension of the attractor is calculated in terms of the Lyapunov exponents, provided that the map sat…
math.DS2009
Random iterated function systems with smooth invariant densities
Tomas Persson
We consider some random iterated function systems on the interval and show that the invariant measure has density in . To prove this we use some techniques for…
math.DS2005
Absolutely continuous invariant measures for some piecewise hyperbolic affine maps
Tomas Persson
A class of piecewise affine hyperbolic maps on a bounded subset of the plane is considered. It is shown that if a map from this class is sufficiently area-expanding then almost sur…